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Chapter 8 Post Test


Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
Determine the order of the matrix.
mc001-1.jpg
a.
2 ´ 3
b.
2 ´ 2
c.
3 ´ 3
d.
3 ´ 2
e.
3 ´ 1
 

 2. 
Write the system of linear equations represented by the augmented matrix. (Use variables x, y, z, and w.)
mc002-1.jpg
a.
mc002-2.jpg
b.
mc002-3.jpg
c.
mc002-4.jpg
d.
mc002-5.jpg
e.
mc002-6.jpg
 

 3. 
Fill in the blank using elementary row operations to form a row-equivalent matrix.
mc003-1.jpg
a.
mc003-2.jpg
b.
mc003-3.jpg
c.
mc003-4.jpg
d.
mc003-5.jpg
e.
mc003-6.jpg
 

 4. 
Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.
mc004-1.jpg
a.
x = 5, y = 1
b.
x = 5, y = –1
c.
no solution
d.
x = 1, y = –5
e.
x = –1, y = 5
 

 5. 
Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.
mc005-1.jpg
a.
x = 5, y = 3, z = 2
b.
x = 5, y = –3, z = 2
c.
x = –5, y = –3, z = 2
d.
no solution
e.
x = 3, y = –5, z = –2
 

 6. 
Evaluate the expression.
mc006-1.jpg
a.
mc006-2.jpg
b.
not possible
c.
mc006-3.jpg
d.
mc006-4.jpg
e.
mc006-5.jpg
 

 7. 
Solve for X in the equation given.
mc007-1.jpg
a.
mc007-2.jpg
b.
mc007-3.jpg
c.
mc007-4.jpg
d.
not possible
e.
mc007-5.jpg
 

 8. 
If possible, find AB.
mc008-1.jpg
a.
mc008-2.jpg
b.
not possible
c.
mc008-3.jpg
d.
mc008-4.jpg
e.
mc008-5.jpg
 

 9. 
Use the matrix capabilities of a graphing utility to find AB, if possible.
mc009-1.jpg
a.
not possible
b.
mc009-2.jpg
c.
mc009-3.jpg
d.
mc009-4.jpg
e.
mc009-5.jpg
 

 10. 
Of the products AB, BA, A2, and B2, which ones are possible for the given matrices?
mc010-1.jpg
a.
A2 only
b.
BA only
c.
B2 only
d.
AB and BA only
e.
AB only
 

 11. 
Evaluate the expression.
mc011-1.jpg
a.
mc011-2.jpg
b.
mc011-3.jpg
c.
mc011-4.jpg
d.
not possible
e.
mc011-5.jpg
 

 12. 
Find the inverse of the matrix mc012-1.jpg.
a.
mc012-2.jpg
b.
mc012-3.jpg
c.
mc012-4.jpg
d.
mc012-5.jpg
e.
mc012-6.jpg
 

 13. 
Solve the system of linear equations
mc013-1.jpg
using the inverse matrix mc013-2.jpg.
a.
mc013-3.jpg
b.
mc013-4.jpg
c.
mc013-5.jpg
d.
mc013-6.jpg
e.
mc013-7.jpg
 

 14. 
Solve the system of linear equations
mc014-1.jpg
using the inverse matrix mc014-2.jpg.
a.
mc014-3.jpg
d.
mc014-6.jpg
b.
mc014-4.jpg
e.
mc014-7.jpg
c.
mc014-5.jpg
 

 15. 
Solve the system of linear equations
mc015-1.jpg using an inverse matrix.
a.
mc015-2.jpg
b.
mc015-3.jpg
c.
mc015-4.jpg
d.
mc015-5.jpg
e.
mc015-6.jpg
 

 16. 
Use the matrix capabilities of a graphing utility to solve the following system of linear equations:
mc016-1.jpg
a.
mc016-2.jpg
b.
mc016-3.jpg
c.
mc016-4.jpg
d.
mc016-5.jpg
e.
mc016-6.jpg
 

 17. 
Use the matrix capabilities of a graphing utility to find the determinant of the matrix
mc017-1.jpg.
a.
mc017-2.jpg
b.
–1080
c.
–432
d.
mc017-3.jpg
e.
mc017-4.jpg
 

 18. 
Use the matrix capabilities of a graphing utility to find the determinant of the matrix
mc018-1.jpg.
a.
–384
b.
–32
c.
–64
d.
–48
e.
128
 

 19. 
Givenmc019-1.jpg, find mc019-2.jpg.
a.
88
b.
–120
c.
168
d.
40
e.
–80
 

 20. 
You inherited a triangular piece of property after your Uncle Izzy passed away. You want to know the size of land, so you "step it off" to estimate the square footage. From the southernmost vertex A, you travel north 220 feet then west 280 feet (for vertex C), and from the southernmost vertex A, you travel 520 feet north then 110 feet west (for vertex B). Use a graphing utility to approximate the number of square feet of land that you have inherited.
mc020-1.jpg
a.
60,700 square feet
b.
mc020-2.jpg square feet
c.
59,400 square feet
d.
84,900 square feet
e.
mc020-3.jpg square feet
 



 
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